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Finding the Fourth Proportional to 24,377.87, 36,567.85 and 7,738.58

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Solution

The fourth proportional to 24,377.87, 36,567.85 and 7,738.58 is: 11,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.87 : 36,567.85 = 7,738.58 : x
  2. Step 2: Convert to fraction form
    24,377.87/36,567.85 = 7,738.58/x
  3. Step 3: Cross multiply
    24,377.87x = 36,567.85 × 7,738.58
  4. Step 4: Simplify right side
    24,377.87x = 282,983,232.65
  5. Step 5: Solve for x
    x = 282,983,232.65/24,377.87
  6. Step 6: Final answer
    x = 11,608.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.